12–17 Jul 2026
University of Graz
Europe/Vienna timezone

Phase-space geometry as a determinant of phenotypic plasticity in breast cancer

MS34-01
13 Jul 2026, 11:40
20m
62.01 - HS (University of Graz)

62.01 - HS

University of Graz

430
Minisymposium Talk Mathematical Oncology Phenotypic Plasticity in Tumor Progression

Speaker

Francisco Lopes (Universidade Federal do Rio de Janeiro)

Description

Phenotypic plasticity in breast cancer can be viewed as stochastic switching between stable gene-expression states associated with clinically distinct subtypes. Building on our previously published NF-κB-centered regulatory network model for breast cancer heterogeneity \cite{Lopes2025}, I will present recent results showing that, in non-conservative gene regulatory systems, in which potential functions are generally not uniquely defined, geometric features of phase space offer a well-defined framework for describing transition probabilities and timescales. In particular, the distance between stable and unstable stationary states, together with the bifurcation structure organizing multistability, emerges as a robust determinant of transition accessibility, transition times, and variability. The analysis reveals a marked asymmetry between phenotypic regimes: the HER2+ attractor is comparatively robust to intrinsic parameter variation, whereas the TNBC regime strongly amplifies such variation, offering a dynamical interpretation for the pronounced heterogeneity observed in triple-negative breast cancer. More broadly, the results support a geometric framework for phenotypic transitions in gene regulatory networks operating far from equilibrium \cite{Caldas2026}.

Bibliography

@article{Lopes2025,
author = {Lopes, Francisco and Pires, B. R. and Lima, A. A. and Binato, Rodolfo and Abdelhay, Eliana},
title = {NF-{$\kappa$}B epigenetic attractor landscape drives breast cancer heterogeneity},
journal = {npj Systems Biology and Applications},
volume = {11},
number = {1},
pages = {135},
year = {2025}
}

@article{Caldas2026,
author = {Caldas, Mayara D. A. and Lima, Alexandre A. B. and Lopes, Francisco},
title = {Phase-space distance between stationary states modulates phenotypic plasticity in breast cancer},
journal = {bioRxiv},
year = {2026},
doi = {10.64898/2026.03.06.710190},
note = {bioRxiv 2026.03.06.710190}
}

Authors

Francisco Lopes (Universidade Federal do Rio de Janeiro) Mayara Caldas (Universidade Federal do Rio de Janeiro)

Co-author

Alexandre Lima (Universidade Federal do Rio de Janeiro)

Presentation materials

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